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Water can go up a pipe an unlimited distance ( You just have to provide more energy the higher up you are pushing the water column) This also assumes a magical superpipe that can withstand the pressures...

That being said I would say the same holds true for horizontal distances.

I believe that you will hit a point of deminishing returns where the amount of energy required does not make it feasible or practicle to go beyond a certain height with a certain volume of liquid

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Water loses pressure as it travels through a horizontal pipe. There are charts and calculators which show many PSI are lost based on size of pipe and flow rate in GPM. In theory, at some point, no matter what PSI you have at the source, at some point along the pipe, you have Zero PSI. In theory, then, flow would stop, but it gets complicated because as flow slows down, then the loss is less, then the flow goes up.......etc. Probalby need some calculus to figure it out.

Basic answer.....diameter of pipe, diameter, and gallons per minute of flow....all cause pressure to drop and the drop is proportionate to the length of the pipe.

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here's the funny thing. if you use the friction charts it is theoretically possible for there to not be any flow at all, yet in practice the water will always dribble out of the open end no matter how long it is.

sigpic

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Yea enough pressure, you could push water up vertically very high. Horizontally the water will even just spill out, did you have a time frame in mind?
However, you can only suck water, with a vacuum pump, 32 feet high.

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I would say forever, water is self leveling so without any pressure, it'll seek it's level like NHmaster said. Add pressure to this and you have the same effect, just faster. I'm basing this question off the op question since he did not mention pressure drop, friction loss, just far far will water go.

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there is one big pipe called an ocean, and it goes clear around the world, (even tho some land masses in its way), and it alway seeks it own level,

Push sticks/blocks Save Fingers
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